The Morse index of mean curvature flow self-shrinkers
Name
958714914-MIT.pdf
Description
Full printable version
Size
3.14 MB
Format
Adobe PDF
Checksum (MD5)
f7289267a8a8e214832d30b6bdfe62f1
Author(s)
Liu, Zihan Hans
Advisor(s)
Tobias H. Colding.
Date Issued
2016
Publisher
Massachusetts Institute of Technology
Abstract
In this thesis, we will introduce a notion of index of shrinkers of the mean curvature flow. We will then prove a gap theorem for the index of rotationally symmetric immersed shrinkers in R3, namely, that such shrinkers have index at least 3, unless they are one of the stable ones: the sphere, the cylinder, or the plane. We also provide a generalization of the result to higher dimensions.
Description
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2016.
Cataloged from PDF version of thesis.
Includes bibliographical references (pages 67-69).
Subjects
Mathematics.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission.
Persistent DSpace Link
